C. Fouassier, G. Matejka, J. Reau, and P. Hagenmuller, Sur de nouveaux bronzes oxygénés de formule na x coo 2 . le système cobalt-oxygène-sodium

I. Terasaki, Y. Sasago, and K. Uchinokura, single crystals, Physical Review B, vol.56, issue.20, pp.12685-12687, 1997.
DOI : 10.1103/PhysRevB.56.R12685
URL : https://hal.archives-ouvertes.fr/hal-01056563

K. Takada, H. Sakurai, E. Takayama-muromachi, F. Izumi, R. A. Dilanian et al., Superconductivity in two-dimensional CoO2 layers, Nature, vol.33, issue.324, pp.53-55, 2003.
DOI : 10.1038/nature01450

W. Philip and . Anderson, More is different, Science, vol.177, issue.4047, pp.393-396, 1972.

G. Kenneth and . Wilson, The renormalization group and critical phenomena, Rev. Mod. Phys, vol.55, pp.583-600, 1983.

P. Hohenberg and W. Kohn, Inhomogeneous Electron Gas, Physical Review, vol.136, issue.3B, pp.864-871, 1964.
DOI : 10.1103/PhysRev.136.B864

W. Kohn and L. J. Sham, Self-Consistent Equations Including Exchange and Correlation Effects, Physical Review, vol.140, issue.4A, pp.1133-1138, 1965.
DOI : 10.1103/PhysRev.140.A1133

G. Onida, L. Reining, and A. Rubio, Electronic excitations: density-functional versus many-body Green???s-function approaches, Reviews of Modern Physics, vol.74, issue.2, pp.601-659, 2002.
DOI : 10.1103/RevModPhys.74.601
URL : https://digital.csic.es/bitstream/10261/98472/1/Electronic%20excitations.pdf

A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions, Reviews of Modern Physics, vol.68, issue.1, pp.13-125, 1996.
DOI : 10.1103/RevModPhys.68.13

C. Kittel, Introduction to Solid State Physics, 1966.

D. Pines and P. Nozières, The Theory of Quantum Liquids. Perseus, 1999.

A. Georges, Strongly Correlated Electron Materials: Dynamical Mean-Field Theory and Electronic Structure, AIP Conference Proceedings, pp.3-74, 2002.
DOI : 10.1063/1.1800733
URL : https://hal.archives-ouvertes.fr/hal-00001233

M. Imada, A. Fujimori, and Y. Tokura, Metal-insulator transitions, Reviews of Modern Physics, vol.70, issue.4, pp.1039-1263, 1998.
DOI : 10.1103/RevModPhys.70.1039

L. Landau, The theory of a fermi liquid, Sov. Phys. JETP, vol.3, issue.1, pp.920-925, 1957.

L. Landau, Oscillations in a fermi liquid, Sov. Phys. JETP, vol.5, issue.1, pp.101-108, 1957.

L. Landau, On the theory of the fermi liquid, Sov. Phys. JETP, vol.8, issue.1, pp.70-74, 1959.

A. Damascelli, Z. Hussain, and Z. Shen, Angle-resolved photoemission studies of the cuprate superconductors, Reviews of Modern Physics, vol.75, issue.2, pp.473-541, 2003.
DOI : 10.1103/RevModPhys.75.473

J. H. De-boer and E. J. Verwey, Semi-conductors with partially and with completely filled 3d-lattice bands, Proc. Phys. Soc, p.59, 1937.

N. F. Mott and R. Peierls, Discussion of the paper by de Boer and Verwey, Proc. Phys. Soc, p.72, 1937.
DOI : 10.1088/0959-5309/49/4S/308

J. Hubbard, Electron Correlations in Narrow Energy Bands, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.276, issue.1365, p.238, 1365.
DOI : 10.1098/rspa.1963.0204

J. Hubbard, Electron Correlations in Narrow Energy Bands. II. The Degenerate Band Case, Proc. Roy. Soc. (London) A, p.237, 1369.
DOI : 10.1098/rspa.1964.0019

J. Hubbard, Electron Correlations in Narrow Energy Bands. III. An Improved Solution, Proc. Roy. Soc. (London) A, p.281401, 1386.
DOI : 10.1098/rspa.1964.0190

J. Kanamori, Electron correlation and ferromagnetism of transition metals. Progress of Theoretical Physics, pp.275-289, 1963.
DOI : 10.1143/ptp.30.275
URL : http://ptp.oxfordjournals.org/cgi/content/short/30/3/275

C. Martin and . Gutzwiller, Effect of correlation on the ferromagnetism of transition metals, Physical Review Letters, vol.10, issue.5, p.159, 1963.

A. Georges and G. Kotliar, Hubbard model in infinite dimensions, Physical Review B, vol.45, issue.12, pp.6479-6483, 1992.
DOI : 10.1103/PhysRevB.45.6479

O. Parcollet, M. Ferrero, T. Ayral, H. Hafermann, P. Seth et al., TRIQS: A toolbox for research on interacting quantum systems, Computer Physics Communications, vol.196, p.398, 2015.
DOI : 10.1016/j.cpc.2015.04.023
URL : https://hal.archives-ouvertes.fr/cea-01232448

]. A. Fujimori, I. Hase, H. Namatame, Y. Fujishima, Y. Tokura et al., configuration, Physical Review Letters, vol.69, issue.12, pp.1796-1799, 1992.
DOI : 10.1103/PhysRevLett.69.1796

J. G. Bednorz and K. A. Müller, Possible hightc superconductivity in the ba-la-cu-o system, Zeitschrift für Physik B Condensed Matter, pp.189-193, 1986.

M. K. Wu, J. R. Ashburn, C. J. Torng, P. H. Hor, R. L. Meng et al., Superconductivity at 93 K in a new mixed-phase Y-Ba-Cu-O compound system at ambient pressure, Physical Review Letters, vol.58, issue.9, pp.908-910, 1987.
DOI : 10.1103/PhysRevLett.58.908

T. Kimura, T. Goto, H. Shintani, K. Ishizaka, T. Arima et al., Magnetic control of ferroelectric polarization, Nature, vol.426, issue.6962, pp.42655-58, 2003.
DOI : 10.1038/nature02018

N. Hur, S. Park, P. A. Sharma, J. S. Ahn, S. Guha et al., Electric polarization reversal and memory in a multiferroic material induced by magnetic fields, Nature, vol.204, issue.6990, pp.429392-395, 2004.
DOI : 10.1103/PhysRevB.56.10860

A. Ramirez, Colossal magnetoresistance, Journal of Physics: Condensed Matter, vol.9, issue.39, p.8171, 1997.
DOI : 10.1088/0953-8984/9/39/005
URL : https://hal.archives-ouvertes.fr/jpa-00254966

M. Lide, J. P. Rodriguez-martinez, and . Attfield, Cation disorder and size effects in magnetoresistive manganese oxide perovskites, Phys. Rev. B, vol.54, pp.15622-15625, 1996.

S. Middey, J. Chakhalian, P. Mahadevan, J. W. Freeland, A. J. Millis et al., Physics of Ultrathin Films and Heterostructures of Rare-Earth Nickelates, Annual Review of Materials Research, vol.46, issue.1
DOI : 10.1146/annurev-matsci-070115-032057

E. Pavarini, S. Biermann, A. Poteryaev, A. I. Lichtenstein, A. Georges et al., Perovskites, Physical Review Letters, vol.92, issue.17, p.176403, 2004.
DOI : 10.1103/PhysRevLett.92.176403

J. M. Tomczak, F. Aryasetiawan, and S. Biermann, Effective bandstructure in the insulating phase versus strong dynamical correlations in metallic vo 2

J. Zaanen, G. A. Sawatzky, and J. W. Allen, Band gaps and electronic structure of transition-metal compounds, Physical Review Letters, vol.55, issue.4, pp.418-421, 1985.
DOI : 10.1103/PhysRevLett.55.418
URL : https://openaccess.leidenuniv.nl/bitstream/handle/1887/5216/8_400_108.pdf?sequence=1

C. De-vaulx, M. Julien, C. Berthier, S. Hébert, V. Pralong et al., , the Parent Compound of Triangular Cobaltates, Physical Review Letters, vol.98, issue.24, p.246402, 2007.
DOI : 10.1103/PhysRevLett.98.246402

G. Lang, J. Bobroff, H. Alloul, P. Mendels, N. Blanchard et al., cobaltate, Physical Review B, vol.72, issue.9, p.94404, 2005.
DOI : 10.1103/PhysRevB.72.094404

M. Roger, D. J. Morris, D. A. Tennant, M. J. Gutmann, J. P. Goff et al., Patterning of sodium ions and the control of electrons in sodium cobaltate, Nature, vol.20, issue.4, pp.445631-634, 2007.
DOI : 10.1038/nature05531

H. W. Zandbergen, M. Foo, Q. Xu, V. Kumar, and R. J. Cava, : Electron diffraction study, Physical Review B, vol.70, issue.2, p.24101, 2004.
DOI : 10.1103/PhysRevB.70.024101

Y. Maw-lin-foo, S. Wang, H. W. Watauchi, T. Zandbergen, R. J. He et al., Charge ordering, commensurability, and metallicity in the phase diagram of the layered na x Coo 2, Phys. Rev. Lett, vol.92, p.247001, 2004.

G. Lang, J. Bobroff, H. Alloul, G. Collin, and N. Blanchard, Spin correlations and cobalt charge states: Phase diagram of sodium cobaltates, Physical Review B, vol.78, issue.15, p.155116, 2008.
DOI : 10.1103/PhysRevB.78.155116

J. Bobroff, G. Lang, H. Alloul, N. Blanchard, and G. Collin, Nmr study of the magnetic and metal-insulator transitions in na 0.5 coo 2 : A nesting scenario

G. J. Shu and F. C. Chou, Ferrimagnetic ordering and spin entropy of fielddependent intermediate spins in na 0, Phys. Rev. B, vol.82, issue.93, p.140402, 2016.

D. J. Singh, sheets, Physical Review B, vol.68, issue.2, p.20503, 2003.
DOI : 10.1103/PhysRevB.68.020503
URL : https://hal.archives-ouvertes.fr/in2p3-00432951

J. Geck, S. V. Borisenko, H. Berger, H. Eschrig, J. Fink et al., : Role of Interorbital Interactions and Magnetic Correlations, Physical Review Letters, vol.99, issue.4, p.46403, 2007.
DOI : 10.1103/PhysRevLett.99.046403

D. Qian, L. Wray, D. Hsieh, L. Viciu, R. J. Cava et al., Complete d-band dispersion relation in sodium cobaltates
DOI : 10.1103/physrevlett.97.186405

D. Qian, L. Wray, D. Hsieh, L. Viciu, R. J. Cava et al., Complete d-band dispersion relation in sodium cobaltates
DOI : 10.1103/physrevlett.97.186405

H. Yang, S. Wang, A. K. Sekharan, H. Matsui, S. Souma et al., : Fermi Surface and Unusual Band Dispersion, Physical Review Letters, vol.92, issue.24, p.246403, 2004.
DOI : 10.1103/PhysRevLett.92.246403

O. I. Motrunich and P. A. Lee, : Bandwidth suppression, charge orders, and resurrected resonating valence bond superconductivity, Physical Review B, vol.69, issue.21, p.214516, 2004.
DOI : 10.1103/PhysRevB.69.214516

H. Ishida, M. D. Johannes, and A. Liebsch, Effect of dynamical coulomb correlations on the fermi surface of na 0.3 coo 2, Phys. Rev. Lett, vol.94, 2005.

C. A. Marianetti, G. Kotliar, and G. Ceder, Role of hybridization in na x coo 2 and the effect of hydration, Phys. Rev. Lett, vol.92, 2004.

C. A. Marianetti, K. Haule, and O. Parcollet, : A Dynamical Mean-Field Theory Study, Physical Review Letters, vol.99, issue.24, p.246404, 2007.
DOI : 10.1103/PhysRevLett.99.246404

A. Liebsch and H. Ishida, Coulomb correlations do not fill the e??? g hole pockets in Na0.3CoO2, The European Physical Journal B, vol.62, issue.4, pp.405-411, 2008.
DOI : 10.1140/epjb/e2008-00108-y

W. Koshibae and S. Maekawa, Layer with Hexagonal Structure: A Kagom?? Lattice Structure in a Triangular Lattice, Physical Review Letters, vol.91, issue.25, p.257003, 2003.
DOI : 10.1103/PhysRevLett.91.257003

G. Khaliullin, W. Koshibae, and S. Maekawa, Low Energy Electronic States and Triplet Pairing in Layered Cobaltate, Physical Review Letters, vol.93, issue.17, p.176401, 2004.
DOI : 10.1103/PhysRevLett.93.176401

S. Landron and M. Lepetit, Ab initio evaluation of the local effective interactions in the superconducting compound na 0.35 Coo 2 ?1
URL : https://hal.archives-ouvertes.fr/hal-00069529

S. Landron and M. Lepetit, hybridization in transition metal oxides, Physical Review B, vol.77, issue.12, p.125106, 2008.
DOI : 10.1103/PhysRevB.77.125106
URL : https://hal.archives-ouvertes.fr/hal-00153592

A. Bourgeois, A. A. Aligia, and M. J. Rozenberg, Dynamical mean field theory of an effective three-band model for na x coo 2, 77] Oleg E. Peil, Antoine Georges, and Frank Lechermann. Strong correlations enhanced by charge ordering in highly doped cobaltates, p.066402236404, 2009.

L. Boehnke and F. Lechermann, from strong correlations on a two-particle level, Physical Review B, vol.85, issue.11, p.115128, 2012.
DOI : 10.1103/PhysRevB.85.115128
URL : http://arxiv.org/abs/1012.5943

L. Boehnke and F. Lechermann, Getting back to naxcoo2: Spectral and thermoelectric properties. physica status solidi (a), pp.1267-1272, 2014.
DOI : 10.1002/pssa.201300197
URL : http://arxiv.org/abs/1306.2559

Q. Si and J. Smith, Kosterlitz-Thouless Transition and Short Range Spatial Correlations in an Extended Hubbard Model, Physical Review Letters, vol.77, issue.16, p.773391, 1996.
DOI : 10.1103/PhysRevLett.77.3391
URL : http://arxiv.org/abs/cond-mat/9606087

M. Anirvan, A. Sengupta, and . Georges, Non-Fermi-liquid behavior near a T=0 spin-glass transition, Physical Review B, vol.52, issue.14, pp.10295-10302, 1995.

H. Kajueter, Interpolating Perturbation Scheme for Correlated Electron Systems, 1996.

P. Sun and G. Kotliar, method, Physical Review B, vol.66, issue.8, p.85120, 2002.
DOI : 10.1103/PhysRevB.66.085120
URL : https://hal.archives-ouvertes.fr/hal-00371644

P. Sun and G. Kotliar, Many-Body Approximation Scheme beyond GW, Physical Review Letters, vol.92, issue.19, 2004.
DOI : 10.1103/PhysRevLett.92.196402
URL : http://arxiv.org/abs/cond-mat/0312303

A. I. Lichtenstein and M. I. Katsnelson, -wave superconductivity in cuprates: A cluster dynamical mean-field theory, Physical Review B, vol.62, issue.14
DOI : 10.1103/PhysRevB.62.R9283
URL : https://hal.archives-ouvertes.fr/hal-00124058

G. Kotliar, Y. Sergej, G. Savrasov, G. Pálsson, and . Biroli, Cellular Dynamical Mean Field Approach to Strongly Correlated Systems, Physical Review Letters, vol.87, issue.18, p.186401, 2001.
DOI : 10.1103/PhysRevLett.87.186401
URL : http://arxiv.org/abs/cond-mat/0010328

K. Burke, The ABC of DFT, 2007.

J. P. Perdew and A. Zunger, Self-interaction correction to density-functional approximations for many-electron systems, Physical Review B, vol.23, issue.10, p.5048, 1981.
DOI : 10.1103/PhysRevB.23.5048

D. M. Ceperley and B. J. Alder, Ground State of the Electron Gas by a Stochastic Method, Physical Review Letters, vol.45, issue.7, p.566, 1980.
DOI : 10.1103/PhysRevLett.45.566

J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized Gradient Approximation Made Simple, Physical Review Letters, vol.77, issue.18, pp.3865-3868, 1996.
DOI : 10.1103/PhysRevLett.77.3865

E. Runge and E. K. Gross, Density-Functional Theory for Time-Dependent Systems, Physical Review Letters, vol.52, issue.12, pp.997-1000, 1984.
DOI : 10.1103/PhysRevLett.52.997

C. A. Ullrich, A. D. Ullrich, and A. D. Bandrauk, Fundamentals of Time- Dependent Density-Functional Theory, volume Lecture Notes in Physics 837, chapter Atoms and Molecules in strong Laser Fields, 2012.

S. Biermann, Dynamical Mean Field Theory-Based Electronic Structure Calculations for Correlated Materials, Topics in current chemistry, pp.303-345, 2014.
DOI : 10.1007/128_2014_530

G. Kotliar and D. Vollhardt, Strongly Correlated Materials: Insights From Dynamical Mean-Field Theory, Physics Today, vol.57, issue.3, p.53, 2004.
DOI : 10.1126/science.1087179

W. John, H. Negele, and . Orland, Quantum many-particle systems, 1988.

W. Metzner and D. Vollhardt, Dimensions, Physical Review Letters, vol.62, issue.3, pp.324-327, 1989.
DOI : 10.1103/PhysRevLett.62.324

T. Ayral, S. Biermann, and P. Werner, and dynamical mean field theory, Physical Review B, vol.87, issue.12, p.125149, 2013.
DOI : 10.1103/PhysRevB.87.125149
URL : https://hal.archives-ouvertes.fr/cea-01342181

J. Hubbard, Calculation of Partition Functions, Physical Review Letters, vol.3, issue.2, pp.77-78, 1959.
DOI : 10.1103/PhysRevLett.3.77

M. Gatti, V. Olevano, L. Reining, and I. V. Tokatly, Transforming Nonlocality into a Frequency Dependence: A Shortcut to Spectroscopy, Physical Review Letters, vol.99, issue.5
DOI : 10.1103/PhysRevLett.99.057401
URL : https://hal.archives-ouvertes.fr/hal-00148137

L. Hedin, New Method for Calculating the One-Particle Green's Function with Application to the Electron-Gas Problem, Physical Review, vol.139, issue.3A, pp.796-823, 1965.
DOI : 10.1103/PhysRev.139.A796

S. Biermann, F. Aryasetiawan, and A. Georges, Approximation and Dynamical Mean-Field Theory, Physical Review Letters, vol.90, issue.8, p.90086402, 2003.
DOI : 10.1103/PhysRevLett.90.086402

P. Hansmann, T. Ayral, L. Vaugier, P. Werner, and S. Biermann, and Dynamical Mean-Field Theory, Physical Review Letters, vol.110, issue.16, p.166401, 2013.
DOI : 10.1103/PhysRevLett.110.166401
URL : https://hal.archives-ouvertes.fr/cea-01342181

T. Kotani, M. Van-schilfgaarde, and S. V. Faleev, Quasiparticle selfconsistent gw method: A basis for the independent-particle approximation

F. Lechermann, A. Georges, A. Poteryaev, S. Biermann, M. Posternak et al., Dynamical mean-field theory using Wannier functions: A flexible route to electronic structure calculations of strongly correlated materials, Physical Review B, vol.74, issue.12
DOI : 10.1103/PhysRevB.74.125120
URL : https://hal.archives-ouvertes.fr/hal-01023353

M. Aichhorn, L. Pourovskii, V. Vildosola, M. Ferrero, O. Parcollet et al., Dynamical mean-field theory within an augmented plane-wave framework: Assessing electronic correlations in the iron pnictide LaFeAsO, Physical Review B, vol.80, issue.8, p.85101, 2009.
DOI : 10.1103/PhysRevB.80.085101

T. Ayral, P. Werner, and S. Biermann, and Dynamical Mean Field Theory, Physical Review Letters, vol.109, issue.22, p.226401, 2012.
DOI : 10.1103/PhysRevLett.109.226401
URL : https://hal.archives-ouvertes.fr/cea-01342181

A. Camjayi, K. Haule, V. Dobrosavljevic, and G. Kotliar, Coulomb correlations and the Wigner???Mott transition, Nature Physics, vol.86, issue.12, pp.932-935, 2008.
DOI : 10.1103/PhysRevLett.87.266402
URL : http://arxiv.org/abs/0809.5037

C. Hotta and N. Furukawa, Strong coupling theory of the spinless charges on triangular lattices: Possible formation of a gapless charge-ordered liquid, Physical Review B, vol.74, issue.19
DOI : 10.1103/PhysRevB.74.193107

C. Hotta and N. Furukawa, Filling dependence of a new type of charge ordered liquid on a triangular lattice system, Journal of Physics: Condensed Matter, vol.19, issue.14, p.145242, 2007.
DOI : 10.1088/0953-8984/19/14/145242

M. Miyazaki, C. Hotta, S. Miyahara, K. Matsuda, and N. Furukawa, Model on a Triangular Lattice: Formation of a Pinball Liquid, Journal of the Physical Society of Japan, vol.78, issue.1, p.14707, 2009.
DOI : 10.1143/JPSJ.78.014707

S. Wessel and M. Troyer, Supersolid Hard-Core Bosons on the Triangular Lattice, Physical Review Letters, vol.95, issue.12, p.127205, 2005.
DOI : 10.1103/PhysRevLett.95.127205
URL : http://arxiv.org/abs/cond-mat/0505298

D. Heidarian and K. Damle, Persistent Supersolid Phase of Hard-Core Bosons on the Triangular Lattice, Physical Review Letters, vol.95, issue.12, p.127206, 2005.
DOI : 10.1103/PhysRevLett.95.127206

R. G. Melko, A. Paramekanti, A. A. Burkov, A. Vishwanath, D. N. Sheng et al., Supersolid Order from Disorder: Hard-Core Bosons on the Triangular Lattice, Physical Review Letters, vol.95, issue.12, p.127207, 2005.
DOI : 10.1103/PhysRevLett.95.127207
URL : http://arxiv.org/abs/cond-mat/0505258

X. Zhang, R. Dillenschneider, Y. Yu, and S. Eggert, Supersolid phase transitions for hard-core bosons on a triangular lattice, Physical Review B, vol.84, issue.17, p.174515, 2011.
DOI : 10.1103/PhysRevB.84.174515

L. Cano-cortés, A. Ralko, C. Février, J. Merino, and S. Fratini, Geometrical frustration effects on charge-driven quantum phase transitions, Physical Review B, vol.84, issue.15, p.155115, 2011.
DOI : 10.1103/PhysRevB.84.155115

F. Luca, C. Tocchio, X. Gros, S. Zhang, and . Eggert, Phase diagram of the triangular extended hubbard model, Phys. Rev. Lett, vol.113, p.246405, 2014.

R. Kaneko, L. F. Tocchio, R. Valentí, F. Becca, and C. Gros, Spontaneous symmetry breaking in correlated wave functions, Physical Review B, vol.93, issue.12, p.125127, 2016.
DOI : 10.1103/PhysRevB.93.125127

R. Kaneko, L. F. Tocchio, R. Valentí, and C. Gros, Emergent lattices with geometrical frustration in doped extended Hubbard models, Physical Review B, vol.94, issue.19, 2016.
DOI : 10.1103/PhysRevB.94.195111
URL : http://arxiv.org/abs/1606.06520

V. Anisimov, A. Poteryaev, M. Korotin, A. Anokhin, and G. Kotliar, Firstprinciples calculations of the electronic structure and spectra of strongly correlated systems: dynamical mean-field theory, Journal of Physics: Condensed Matter, issue.35, p.97359, 1997.

I. Vladimir, . Anisimov, A. Aryasetiawan, and . Lichtenstein, First-principles calculations of the electronic structure and spectra of strongly correlated systems: the lda + u method, Journal of Physics: Condensed Matter, vol.9, issue.4, p.767, 1997.

A. I. Lichtenstein and M. I. Katsnelson, calculations of quasiparticle band structure in correlated systems: LDA++ approach, Physical Review B, vol.57, issue.12, pp.6884-6895, 1998.
DOI : 10.1103/PhysRevB.57.6884

N. Marzari and D. Vanderbilt, Maximally localized generalized Wannier functions for composite energy bands, Physical Review B, vol.56, issue.20, pp.12847-12865, 1997.
DOI : 10.1103/PhysRevB.56.12847
URL : http://arxiv.org/abs/cond-mat/9707145

I. Souza, N. Marzari, and D. Vanderbilt, Maximally localized Wannier functions for entangled energy bands, Physical Review B, vol.65, issue.3, p.35109, 2001.
DOI : 10.1103/PhysRevB.65.035109
URL : http://arxiv.org/abs/cond-mat/0108084

F. Aryasetiawan, M. Imada, A. Georges, G. Kotliar, S. Biermann et al., Frequency-dependent local interactions and low-energy effective models from electronic structure calculations, Physical Review B, vol.70, issue.19, 2004.
DOI : 10.1103/PhysRevB.70.195104
URL : https://hal.archives-ouvertes.fr/hal-00010144

L. Vaugier, L. Vaugier, H. Jiang, and S. Biermann, Electronic Strucutre of Correlated Materials from First-Principles: Hubbard interaction and Hund's exchange Ecole polytechnique Hubbard u and hund exchange j in transition metal oxides: Screening versus localization trends from constrained random phase approximation, Phys. Rev. B, vol.129, issue.86, p.165105, 2011.

T. Ayral, Nonlocal Coulomb Interactions and Electronic Correlations: Novel Many-Body Approaches, 2015.
URL : https://hal.archives-ouvertes.fr/tel-01247625

A. N. Rubtsov, M. I. Katsnelson, and A. I. Lichtenstein, Dual boson approach to collective excitations in correlated fermionic systems, Annals of Physics, vol.327, issue.5, p.1320, 2012.
DOI : 10.1016/j.aop.2012.01.002
URL : http://arxiv.org/abs/1105.6158

P. Werner, A. Comanac, M. Luca-de-'medici, A. Troyer, and . Millis, Continuous-Time Solver for Quantum Impurity Models, Physical Review Letters, vol.97, issue.7, p.76405, 2006.
DOI : 10.1103/PhysRevLett.97.076405
URL : http://arxiv.org/abs/cond-mat/0512727

P. Werner, E. Gull, O. Parcollet, and A. J. Millis, Momentum-selective metal-insulator transition in the two-dimensional Hubbard model: An 8-site dynamical cluster approximation study, Physical Review B, vol.80, issue.4, p.45120, 2009.
DOI : 10.1103/PhysRevB.80.045120

H. Hafermann, K. R. Patton, and P. Werner, Improved estimators for the self-energy and vertex function in hybridization-expansion continuous-time quantum Monte Carlo simulations, Physical Review B, vol.85, issue.20, p.205106, 2012.
DOI : 10.1103/PhysRevB.85.205106

R. Ambroise-van, Electronic Coulomb Correlations in Transition Metal Pnictides, 2014.

R. K. Bryan, Maximum entropy analysis of oversampled data problems, European Biophysics Journal, vol.13, issue.F, pp.165-174, 1990.
DOI : 10.1007/BF02427376

A. Amaricci, A. Camjayi, K. Haule, G. Kotliar, D. Tanaskovi? et al., Extended Hubbard model: Charge ordering and Wigner-Mott transition, Physical Review B, vol.82, issue.15
DOI : 10.1103/PhysRevB.82.155102
URL : http://arxiv.org/abs/1005.3556

M. M. Radonji?, D. Tanaskovi?, V. Dobrosavljevi?, K. Haule, and G. Kotliar, Wigner-Mott scaling of transport near the two-dimensional metal-insulator transition, Physical Review B, vol.85, issue.8, p.85133, 2012.
DOI : 10.1103/PhysRevB.85.085133

G. Erik, F. Van-loon, H. Krien, . Hafermann, A. Evgeny et al., Double occupancy in dynamical mean-field theory and the dual boson approach, Physical Review B, issue.15, p.93155162, 2016.

E. K. Gross, F. J. Dobson, and M. Petersilka, Density Functional Theory, 1996.
DOI : 10.1007/978-1-4757-9975-0
URL : https://hal.archives-ouvertes.fr/jpa-00211085

T. Ayral, Private communication, 2016.

E. Wigner, On the Interaction of Electrons in Metals, Physical Review, vol.46, issue.11, pp.1002-1011, 1934.
DOI : 10.1103/PhysRev.46.1002

A. Toschi, A. A. Katanin, and K. Held, Dynamical vertex approximation: A step beyond dynamical mean-field theory, Physical Review B, vol.75, issue.4, p.45118, 2007.
DOI : 10.1103/PhysRevB.75.045118
URL : http://arxiv.org/abs/cond-mat/0603100

T. Ayral and O. Parcollet, Mott physics and spin fluctuations: A unified framework, Physical Review B, vol.92, issue.11, p.115109, 2015.
DOI : 10.1103/PhysRevB.92.115109
URL : https://hal.archives-ouvertes.fr/cea-01232442

T. Ayral and O. Parcollet, Mott physics and spin fluctuations: A functional viewpoint, Physical Review B, vol.93, issue.23, p.235124, 2016.
DOI : 10.1103/PhysRevB.93.235124
URL : https://hal.archives-ouvertes.fr/cea-01341626

G. Kresse and J. Furthmüller, Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set, Computational Materials Science, vol.6, issue.1, p.15, 1996.
DOI : 10.1016/0927-0256(96)00008-0

G. Kresse and J. Furthmüller, total-energy calculations using a plane-wave basis set, Physical Review B, vol.54, issue.16, p.11169, 1996.
DOI : 10.1103/PhysRevB.54.11169

P. E. Blöchl, Projector augmented-wave method, Physical Review B, vol.50, issue.24, p.17953, 1994.
DOI : 10.1103/PhysRevB.50.17953

G. Kresse and D. Joubert, From ultrasoft pseudopotentials to the projector augmented-wave method, Physical Review B, vol.59, issue.3, p.1758, 1999.
DOI : 10.1103/PhysRevB.59.1758

J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized Gradient Approximation Made Simple, Physical Review Letters, vol.77, issue.18, pp.38651396-1396, 1996.
DOI : 10.1103/PhysRevLett.77.3865

A. G. Marinopoulos, L. Reining, A. Rubio, and V. Olevano, study of the optical absorption and wave-vector-dependent dielectric response of graphite, Physical Review B, vol.69, issue.24, p.245419, 2004.
DOI : 10.1103/PhysRevB.69.245419
URL : https://hal.archives-ouvertes.fr/hal-00078104

M. Shishkin and G. Kresse, method within the PAW framework, Physical Review B, vol.74, issue.3, p.35101, 2006.
DOI : 10.1103/PhysRevB.74.035101

J. M. Tomczak, M. Casula, T. Miyake, F. Aryasetiawan, and S. Biermann, Combined GW and dynamical mean-field theory: Dynamical screening effects in transition metal oxides, EPL (Europhysics Letters), vol.100, issue.6, p.67001, 2012.
DOI : 10.1209/0295-5075/100/67001
URL : https://hal.archives-ouvertes.fr/hal-00796529

P. Werner, M. Casula, T. Miyake, F. Aryasetiawan, A. J. Millis et al., Satellites and large doping and temperature dependence of electronic properties in hole-doped BaFe2As2, Nature Physics, vol.8, issue.4, pp.331-337, 2012.
DOI : 10.1016/j.jmmm.2006.10.304
URL : https://hal.archives-ouvertes.fr/hal-00796567

M. Casula, A. Rubtsov, and S. Biermann, Dynamical screening effects in correlated materials: Plasmon satellites and spectral weight transfers from a Green's function ansatz to extended dynamical mean field theory, Physical Review B, vol.85, issue.3, p.35115, 2012.
DOI : 10.1103/PhysRevB.85.035115

M. Gatti and M. Guzzo, approximation and beyond, Physical Review B, vol.87, issue.15, p.155147, 2013.
DOI : 10.1103/PhysRevB.87.155147
URL : https://hal.archives-ouvertes.fr/hal-00931183

H. Ehrenreich and M. H. Cohen, Self-Consistent Field Approach to the Many-Electron Problem, Physical Review, vol.115, issue.4, p.786, 1959.
DOI : 10.1103/PhysRev.115.786

M. Gajdo?, K. Hummer, G. Kresse, J. Furthmüller, and F. Bechstedt, Linear optical properties in the projector-augmented wave methodology, Physical Review B, vol.73, issue.4, p.45112, 2006.
DOI : 10.1103/PhysRevB.73.045112